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Finding the Third Proportional to 213.52 and 466.97

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Solution

The third proportional to 213.52 and 466.97 is: 1,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 466.97 = 466.97 : x
  2. Step 2: Convert to fraction form
    213.52/466.97 = 466.97/x
  3. Step 3: Cross multiply
    213.52x = 466.97 × 466.97
  4. Step 4: Simplify right side
    213.52x = 218,059.81
  5. Step 5: Solve for x
    x = 218,059.81/213.52
  6. Step 6: Final answer
    x = 1,021.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.